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Painlevé equations as classical analogues of Heun equations. / Slavyanov, S. Yu.

в: Journal of Physics A: Mathematical and General, Том 29, № 22, 21.11.1996, стр. 7329-7335.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Slavyanov, SY 1996, 'Painlevé equations as classical analogues of Heun equations', Journal of Physics A: Mathematical and General, Том. 29, № 22, стр. 7329-7335. https://doi.org/10.1088/0305-4470/29/22/026

APA

Slavyanov, S. Y. (1996). Painlevé equations as classical analogues of Heun equations. Journal of Physics A: Mathematical and General, 29(22), 7329-7335. https://doi.org/10.1088/0305-4470/29/22/026

Vancouver

Slavyanov SY. Painlevé equations as classical analogues of Heun equations. Journal of Physics A: Mathematical and General. 1996 Нояб. 21;29(22):7329-7335. https://doi.org/10.1088/0305-4470/29/22/026

Author

Slavyanov, S. Yu. / Painlevé equations as classical analogues of Heun equations. в: Journal of Physics A: Mathematical and General. 1996 ; Том 29, № 22. стр. 7329-7335.

BibTeX

@article{1f55e789f04343d6836680c67b32f4e3,
title = "Painlev{\'e} equations as classical analogues of Heun equations",
abstract = "The relationship between the Heun class of second-order linear equations and the Painlev{\'e} second-order nonlinear equations is studied. The symbol of the Heun class equations is regarded as a quantum Hamiltonian. The independent variable and the differentiation operator correspond to the canonical variables and one of the parameters of the equation is assumed to be time. Painlev{\'e} equations appear to be Euler-Lagrange equations related to corresponding classical motion.",
author = "Slavyanov, {S. Yu}",
year = "1996",
month = nov,
day = "21",
doi = "10.1088/0305-4470/29/22/026",
language = "English",
volume = "29",
pages = "7329--7335",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "22",

}

RIS

TY - JOUR

T1 - Painlevé equations as classical analogues of Heun equations

AU - Slavyanov, S. Yu

PY - 1996/11/21

Y1 - 1996/11/21

N2 - The relationship between the Heun class of second-order linear equations and the Painlevé second-order nonlinear equations is studied. The symbol of the Heun class equations is regarded as a quantum Hamiltonian. The independent variable and the differentiation operator correspond to the canonical variables and one of the parameters of the equation is assumed to be time. Painlevé equations appear to be Euler-Lagrange equations related to corresponding classical motion.

AB - The relationship between the Heun class of second-order linear equations and the Painlevé second-order nonlinear equations is studied. The symbol of the Heun class equations is regarded as a quantum Hamiltonian. The independent variable and the differentiation operator correspond to the canonical variables and one of the parameters of the equation is assumed to be time. Painlevé equations appear to be Euler-Lagrange equations related to corresponding classical motion.

UR - http://www.scopus.com/inward/record.url?scp=0030597272&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/29/22/026

DO - 10.1088/0305-4470/29/22/026

M3 - Article

AN - SCOPUS:0030597272

VL - 29

SP - 7329

EP - 7335

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 22

ER -

ID: 41278795